Use of Hamiltonian relativistic principle of least action (HRPLA) to improve the computation of magnetic self-insulation in pulsed vacuum transmission lines (MITL´s)

Summary form only given, as follows. To compute MITL´s wave mode of operation additionally including its dynamical dependence on generator impedance we use known analytical model of stationary wave with Brillouin electron flow (SW-BEF). To more strictly define relativistic factor &gamma/sub m/ at the edge of the BEF which as a matter of fact is a model´s free parameter we turn to use the exact principle known as HRPLA. Remaining in the frames of SW-BEF model we close it by formulating the approximate variational problem with modulus of action |S| as functional. Minimizing analytical form of |S| we get &gamma/sub m/ as function of &gamma/sub A/, K/sub z/, where &gamma/sub A/ -relativistic factor at the anode, K/sub z/ - the ratio of generator to cold vacuum line impedances. Results of computations are presented in graphical and approximate analytical forms. They show a good agreement with several published data thus complimenting and improving the SW-BEF model.